An intro to holomorphic dynamics, the study of iterated complex functions.
Video on Newton’s fractal:
Special thanks to these supporters: #thanks
Extra special thanks to Sergey Shemyakov, of Aix-Marseille University, for helpful conversations and for introducing me to this phenomenon.
How a Mandelbrot set arises from Newton’s work
Beyond the Mandelbrot set, an intro to holomorphic dynamics
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Introduction to Fatou sets and Julia sets, including a discussion of Montel’s theorem and its consequences:
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Numberphile with Ben Sparks on the Mandelbrot set:
...Excellent article on , from the basics of building up complex numbers to Julia sets.
Bit of a side note, but if you want an exceedingly beautiful rendShow more